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Finding the Fourth Proportional to 401.12, 600.80 and 256.48

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Solution

The fourth proportional to 401.12, 600.80 and 256.48 is: 384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.12 : 600.80 = 256.48 : x
  2. Step 2: Convert to fraction form
    401.12/600.80 = 256.48/x
  3. Step 3: Cross multiply
    401.12x = 600.80 × 256.48
  4. Step 4: Simplify right side
    401.12x = 154,093.18
  5. Step 5: Solve for x
    x = 154,093.18/401.12
  6. Step 6: Final answer
    x = 384.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.